Mean field limit for bosons and infinite dimensional phase-space analysis

TL;DR

This paper develops a framework for constructing Wigner measures in infinite dimensional bosonic quantum fields, facilitating the derivation of mean field dynamics and connecting various results in quantum field theory.

Contribution

It introduces a method to define Wigner measures in infinite dimensions, enabling new insights into mean field limits in bosonic quantum fields.

Findings

Construction of Wigner measures in infinite dimensions

Application to deriving mean field dynamics

Connections between different quantum results

Abstract

This article proposes the construction of Wigner measures in the infinite dimensional bosonic quantum field theory, with applications to the derivation of the mean field dynamics. Once these asymptotic objects are well defined, it is shown how they can be used to make connections between different kinds of results or to prove new ones.